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The steps below show the solution to the equation 3(x−2)=2(x−3). Order the reasons for the steps.


3(x−2)=2(x−3)


3(x)+3(−2)=2(x)+2(−3)

[ Select ]


3x−6=2x−6

[ Select ]


3x−2x=−6+6

[ Select ]


x=0

[ Select ]


Fill out the select options with either:


A. Addition and subtraction properties of equality

B. Distributive property

C. Add and subtract

D. Multiply

Sagot :

MathTutors

Answer: B, D, A, C

Step-by-step explanation:

To find the reasons for the steps, let's solve the equation.

3(x−2)=2(x−3)                          [distribute]

3(x)+3(−2)=2(x)+2(−3)             [multiply]

3x−6=2x−6                               [add and subtract both sides by 2x and -6]

3x−2x=−6+6                            [add and subtract]

x=0

Therefore, the order would be B, D, A, C.

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